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Finding the Fourth Proportional to 10,332.66, 15,499.80 and 7,078.08

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Solution

The fourth proportional to 10,332.66, 15,499.80 and 7,078.08 is: 10,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.66 : 15,499.80 = 7,078.08 : x
  2. Step 2: Convert to fraction form
    10,332.66/15,499.80 = 7,078.08/x
  3. Step 3: Cross multiply
    10,332.66x = 15,499.80 × 7,078.08
  4. Step 4: Simplify right side
    10,332.66x = 109,708,824.38
  5. Step 5: Solve for x
    x = 109,708,824.38/10,332.66
  6. Step 6: Final answer
    x = 10,617.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.